Display of Information for Time-Critical Decision Making
Matthew Barry Eric Horvitz
Propulsion Systems Section Decision Theory Group
NASA Johnson Space Center Microsoft Research
Houston, Texas 77058 Redmond, Washington 98025
[email protected] ckwell.com [email protected]
Abstract can also assist engineers with the oine design of user-
interface content and functionality.We will see also
how a decision-theoretic p ersp ective on display high-
We describ e metho ds for managing the com-
lights imp ortant questions ab out human information
plexity of information displayed to p eople
pro cessing. Answers to these questions will allowusto
resp onsible for making high-stakes, time-
further re ne the display-management metho dology.
critical decisions. The techniques provide
to ols for real-time control of the con gura-
Previous related investigation of the use of prob-
tion and quantity of information displayed
ability and utility in display management includes
to a user, and a metho dology for designing
work on controlling the tradeo b etween the com-
exible human-computer interfaces for mon-
pleteness and the complexity of informational displays,
itoring applications. After de ning a proto-
computer-based explanations, and computational b e-
typical set of display decision problems, we
havior [Horvitz et al., 1989], the use of multiattribute
intro duce the exp ected value of revealed in-
utility to control the complexity of presentations and
formation (EVRI) and the related measure
displays [Horvitz, 1987a, Mclaughlin, 1987], and mul-
of exp ected value of displayed information
tiattribute utility for queuing and prioritizing the re-
(EVDI). We describ e how these measures can
sults of diagnostic reasoning [Breese et al., 1991]. In
b e used to enhance computer displays used
other related work, qualitative mo dels, in combination
for monitoring complex systems. We moti-
with several heuristic imp ortance metrics havebeen
vate the presentation by discussing our ef-
employed to select information for monitoring appli-
fortstoemploy decision-theoretic control of
cations [Doyle et al., 1989].
displays for a time-critical monitoring appli-
We will rst review basic results from studies of human
cation at the NASA Mission Control Center
information pro cessing ab out cognitive load, short-
in Houston.
term memory, and decision making. Then, we will de-
scrib e the representation and solution of time-critical
decision problems. We will intro duce the task of mon-
1 INTRODUCTION
itoring and decision making ab out propulsion systems
on the Space Shuttle to motivate the imp ortance of in-
The rapid growth in the use of computers to ac-
formation display in time-critical situations. We will
cess information and to monitor complex systems has
present decision mo dels for the display of information,
brought increased attention to the costs of navigating
and discuss metho ds for evaluating the value of dis-
through large quantities of data in search of critical
played information. We will fo cus rst on the exp ected
information. Problems with accessing and reviewing
value of revealed information (EVRI). After, we will
information are esp ecially salient in high-stakes, time-
intro duce the use of Bayesian mo dels of user b elief and
critical decision-making contexts. We presentwork on
action, and describ e the exp ected value of displayed
enhancing the human{computer interface through ap-
information (EVDI). Finally,we will address practical
plying decision-theoretic inference to control the infor-
approaches to implementing display managers based
mation displayed to p eople resp onsible for monitoring
on EVRI and EVDI. We will summarize by discussing
complex systems. The metho ds can b e employed to
our research directions.
enhance the quality and timeliness of decisions byad-
justing the con guration and quantity of information
displayed to decision makers, dep ending on the current
2 INFORMATION AND
uncertainties and time criticality. Beyond their appli-
COGNITIVE LIMITATIONS
cation in the real-time control displays, the techniques
Why should weworry ab out managing the complexity
In Proceedings of the Eleventh Conference on Uncer-
of displayed information? Decision-theoretic analyses tainty in Arti cial Intel ligence, Montreal, August 1995.
of the value of information show us that gaining cost-
free access to additional information can only enhance Action A,t Duration of Process
the quality of our actions. Unfortunately, information
often comes at a cost. When we compute the net value
e consider the value of information,
of information, w Utility
en uncertainty ab out test results, and the cost of giv System
information. State H, to
Information that is already available to a computer
ypically do es not cost any- ab out a monitored system t E E2 E3
1 En
thing to display.However, in time-critical, high-stakes
situations, the time required by p eople to review infor-
mation, and confusion arising in attempts to pro cess
large amounts of data quickly, can lead to costly delays
Figure 1: An in uence diagram representing the time-
and errors.
dep endent cost asso ciated with allowing an anomalous
condition to p ersist by delaying an e ective resp onse.
Fundamental limitations in the abilities of p eople to
pro cess information explain why decision qualitymay
degrade with increases in the quantity and complex-
ferent times on the temp oral progression of the states
ity of data b eing reviewed, and with diminishment
of a system. In some cases, it may b e appropriate to
in the time available for a resp onse. Human di-
assess an outcome as an equilibrium state, reached at
culties with the pro cessing of information has b een
some time following a set of interventions, and to as-
akey research fo cus within Cognitive Psychology
sess the utility of this equilibrium state [Horvitz, 1990].
[Bruner et al., 1956]. Numerous studies have provided
We can attempt to minimize the detailed mo deling of
evidence that human information pro cessing is pri-
the temp oral progression of system states by assessing
marily sequential in nature [Simon, 1972]. Exp eri-
the time-dep endentchanges in the utility of outcomes
ments haveshown that the sp eed at which sub jects
that are de ned in terms of a system (or world) state
p erform tasks drops as the quantity of information
and interventions made at various times. The utility
b eing considered increases, and that the rate of p er-
asso ciated with allowing one or more states of a system
forming tasks can b e increased by ltering or sup-
to evolve with or without intervention is a function of
pressing irrelevant information [Morrin et al., 1961].
the state, the action, and the time action is taken. It
In a classic study on limitations in human cognition,
may b e p ossible to assess from exp erts time-dep endent
Miller found that humans cannot consider more than
utility functions that capture the changes in utilityat
ve to nine distinct concepts or \chunks" of informa-
progressively later times of intervention for di erent
tion simultaneously [Miller, 1956]. The capacityof
system states [Horvitz and Rutledge, 1991].
decision makers to consider imp ortant in uences on
a decision may b e reduced even further if fast ac-
In one class of time-critical decision problem, repre-
tion is demanded in crisis situations. One cognitive-
senting a large class of high-stakes, time-critical moni-
psychology study demonstrated that p eople cannot
toring tasks, we gain access to information ab out sys-
retain and reason simultaneously ab out more than
tem's b ehavior at time t and attempt to diagnose and
0
two concepts in environments lled with distractions
take action to resp ond to the anomalous state of the
[Waugh and Norman, 1965]. These and other cogni-
system. In many time-critical situations, additional in-
tive psychology ndings provide motivation for auto-
formation ab out the progression of a state over time is
mated metho ds that can balance the value and costs
either not relevantornotavailable b efore action needs
of displayed information.
to b e taken. Outcomes are often particularly sensitive
to the length of time that an anomalous condition p er-
sists. Delays may b e asso ciated with signi cant time-
3 TIME-CRITICAL DECISIONS
dep endentchanges in the utility of outcomes based in
the duration of the condition. A representation of this
The costs versus the b ene ts of sp ending time to re-
typ e of decision problem, assuming a single action or
view additional information are sensitive to the time
xed sequence of actions, is represented by the in u-
criticality of a situation. In time-critical contexts,
ence diagram in Figure 1. We assess time-dep endent
the utilities of outcomes diminish signi cantly with
utilities, as a function of the action A , the state of
i
delays in taking appropriate action. There are sev-
the system H , and the delay b efore action is taken,
j
eral classes of time-dep endent decision problems and
u(A ;H ;t). Given uncertainty ab out the state of sys-
i j
avarietyofways to representvariables and proba-
tem, the exp ected utility (EU) of taking action A at
i
bilistic dep endencies to enco de knowledge ab out time-
time t is
dep endence of outcome and utility [Horvitz, 1987b,
n
Horvitz, 1988]. In one approach, we mo del explicitly
X
the time-dep endent progression of imp ortant states of
EU (A ;t) = p(H jE; )u(A ;H ;t)
i j i j
a system under the in uence of pro cesses that mayper-
j =1
sist over time. We consider the e ects of di erentac-
tions (including not taking any explicit action) at dif- where p(H jE; ) is the probabilityover hyp otheses j 1.0
damaged) 0.5 p(Engine thrown) Probability p(Shrapnel
0.0 0 1 2 3 4 5
Seconds burn continued during propellant failure
Figure 2: Graphs of the probabilities of costly failures
with delayed action, highlighting the p otential time
Figure 3: Primary screen of the traditional display for
criticality of decision making ab out Shuttle propulsion
Shuttle propulsion systems at Mission Control. Left,
systems.
right, and forward RCS data is displayed in panels at
the top of the screen. Data on the right and left OMS
engines are displayed in the lower panels.
ab out di erent systems states, given observations E
and background state of information .
redirect fuel to alternative engines in a varietyofdif-
4 EXAMPLE: SPACE SHUTTLE
ferentways. The stakes may b e high. For example,
PROPULSION SYSTEMS
continuing a burn during an engine problem can de-
stroy the engines or the entire Space Shuttle. Halting
Our work on display management for time-critical
a burn b efore a critical target velo cityisreached can
decisions has b een a key comp onentofthemulti-
lead to such situations as the forced ditching of the or-
site Vista Pro ject [Horvitz et al., 1992]. The Vista
biter in the o cean, or the missing of a critical key reen-
Pro ject was initiated in 1991 to develop inferential
try opp ortunity. Decisions are not only high-stakes,
to ols to assist ight engineers at the NASA Mission
they may also b e time critical. In many contexts, de-
Control Center in Houston with the interpretation of
layed decisions can b e very costly to the mission and to
telemetry from the Space Shuttle. We designed and
the orbitor itself. The time criticality of propulsion-
implemented decision-theoretic inference and display-
systems decision making is highlighted by the graph
management software to aid engineers monitoring the
in Figure 2, displaying dynamic probabilities, assessed
Shuttle's propulsion systems. To further motivate
from an exp ert, of damaging and destroying an engine
display-management issues, we will review some detail
explosively bycontinuing a burn during a prop ellant
ab out the propulsion-systems monitoring and decision
failure.
problem.
4.1 STATUS QUO FOR DISPLAY
Flight engineers in the Propulsion Section at Johnson
Space Center are resp onsible for monitoring two di er-
Before Vista, the traditional computer displays for
entShuttle thruster systems: the orbital maneuvering
the Propulsion Section resembled other cluttered,
system (OMS) and the reaction control system (RCS).
information-rich displays at the Mission Control Cen-
The large right and left OMS engines are red for such
ter. The primary propulsion-systems display,inuse
critical maneuvers as orbital insertion and orbit circu-
b efore the Vista system was intro duced, is pictured in
larization. The smaller suites of RCS thrusters are
Figure 3. The screen includes information on the sta-
used for translation in space, for such tasks as maneu-
tus of two OMS engines, and the three banks of RCS
vering near ob jects in orbit, as well as for the continual
engines. During missions, if ground controllers b ecome
computer-controlled stabilization of the Shuttle's tra-
concerned ab out the health of one of the propulsion
jectory and p osition.
systems or subsystems, auxiliary screens may b e re-
Flight engineers often face a large quantity of p oten-
quested whichcontain such data as trend information
tially relevant information, esp ecially during crises.
ab out engine consumables. The complex primary and
Propulsion ight engineers must continue to moni-
auxiliary displays of information can b ecome burden-
tor multiple sensors which measure suchvariables as
some in situations that demand quick decision making,
changes in the Shuttle's velo city with burns, pressures
esp ecially for ight engineers in training.
and temp eratures in tanks of consumables (helium,
fuel, nitrogen, and oxidizer), and voltages and currents
4.2 DECISION MODELS FOR
in electrical subsystems.
PROPULSION SYSTEMS
If a problem with the functioning of the propulsion sys-
tems is noted during a critical burn, the op erator must In the rst phase of the Vista pro ject, we develop ed
decide whether to continue the burn, halt the burn, or probabilistic and decision-theoretic mo dels for assist- He P1 Meas He P1 Sens Failure He Tank Leak He Pressure 1 He Pressure He Pressure 2 Helium He P2 Meas He P2 Sens Failure
He P1 Trend He Ox Valve He Fu Valve Hx Fu Temp Prob He P2 Trend Hx Ox Temp Prob
Ox Tank Leak Fu Tank Leak
Ox Temp Prob Fuel Temp Prob
Ox Tank P
Ox Contam Fu Tank P Ox Temp Oxidizer Fuel Fuel Temp Ox Inlet P Fu Contam Ox Tank Pressure Fuel Tank Pressure Fu Inlet P X-over Ox P X-over Fu P Combust P N Tank P2 N P2 Sens Fail
Fuel Inlet Pressure Engine Failure N Tank Pres Ox Inlet Pressure N Tank P1 N P1 Sens Fail N Valve Fail N Accum P Comb Pres Meas N Tank Leak Nitrogen X-over Fu Pressure Comb Sens Failure Comb P Trend Combust Pressure Nitrogen Accum Pres
X-over Ox Pressure
Figure 5: A Bayesian network for the OMS engine.
Figure 4: Schematic of an OMS engine.
of outcomes. We assessed time-dep endent utilityin
terms of the dynamically changing probabilitythata
mission would b e terminated prematurely or, for more
ing ight engineers with key subproblems in the Shut-
catastrophic situations, that the entire orbitor would
tle propulsion domain. First, wedevelop ed Bayesian
b e lost, as a function of the anomaly, the action taken,
networks for the Shuttle's propulsion systems. Figure
and the p ersistence of fault states. We found that it
4 displays a basic schematic of the OMS engine. The
was useful to use multiattribute utility to understand
overall op eration of the propulsion engines is straight-
the tradeo s among dimensions of value in an out-
forward. A tank of helium gas maintains pressure on
come, including suchkey attributes as the p ortion of
tanks of oxidizer and fuel. To re an OMS engine,
the target velo city reached and the probabilityofdam-
valves are op ened which allow the fuel and oxidizer
aging an engine b eing used for the desired impulse.
to mix and combust to provide thrust. In addition to
the basic ows, ground controllers must also consider
The Vista-I I system wentinto service at the Mission
the status of a set of valves b etween various tanks,
Control Center in 1993, following lab oratory validation
and crossover lines that allow prop ellant to b e shared
with a prototyp e named Vista-I. Vista-I I monitors and
by di erent engine systems. Suites of temp erature
interprets live telemetry b eing transmitted from the
and pressure sensors are lo cated at critical lo cations
Shuttle. When the probability of an anomaly (includ-
in the system. The telemetry ab out propulsion sys-
ing sensor faults) exceeds a small threshold, the system
tems transmitted to ground stations consists largely
displays a list of p ossible faults ranked by likeliho o d
of information from these sensors.
with an asso ciated graphical display of the probabili-
ties of the faults. In addition to providing a probability
Figure 5 shows the graphical structure of a Bayesian-
distribution over faults, the system also generates rec-
network for an OMS engine. The Bayesian networks
ommendations ab out ideal action. A list of p ossible
that we constructed for Shuttle propulsion systems are
actions, ranked by exp ected utility is displayed.
notable in that they include rich representations of sen-
sor failures and errors. The mo dels consider failures
of sensors as well as failures of core comp onents of
5 DISPLAY DECISION MAKING
propulsion systems. The sensor-error mo dels included
in the Bayesian networks represent information ab out
Several approaches to the managementofdisplayand
the validity of sensors as wellastheway that di erent
information access were implemented in the initial
sensors fail. Exp erts with long-term exp erience make
Vista systems [Horvitz et al., 1992]. These include
use of evidence ab out sensor failure, suchasnoting
means for exibly controlling the detail of information
that a sp eci c class of sensor is generating a sinusoidal
presented ab out sp eci c subsystems dep ending on the
output or is trending upward when a physical mo del
context and inference ab out anomalies, the use of a
only makes p ossible decreasing quantities of the mea-
list of faults, sorted by probability, as an active index
sured substance.
into related trend information, and the prioritization
of faults by the exp ected cost of delay to review the
4.3 REPRESENTING ACTION AND TIME
faults.
To build a exible approach to display, data Moving from inference ab out anomalous states to the
templates|contiguous sets of related information| realm of actions, we mo deled decisions and outcomes
were designed for each subsystem (the two OMS sys- for di erent anomalies and contexts. Weenumerated
tems and the three RCS systems). A sp ectrum of tem- available actions and considered the time-dep endence
VISTA erator's decisions. Wenow explore metho ds to char-
acterize the costs and b ene ts of displaying di erent
con gurations of information.
Let us rst consider a quantitywe refer to as the
exp ected value of revealed information (EVRI). EVRI
is the exp ected value of considering additional quanti-
ties of information that is available with certainty,yet
is hidden from a decision analysis. The exp ected util-
ity of considering previously hidden information must
be evaluated in the context of a complete decision-
theoretic analysis, taking advantage of al l of the avail-
able information. EVRI di ers from the exp ected
value of information (EVI) in that EVI includes a
consideration of uncertainty ab out the state of obser-
vations. In the case of EVRI, an automated display
Figure 6: A screen from Vista-I displaying how a prob-
manager has access to all available data. EVI is ap-
lem with the left OMS is handled. The left-OMS data
propriate metric for display in cases where a system
template has b een expanded from the core data set
must exp end e ort b efore access is gained to sensor
by the display manager. Relevant trend information is
values.
displayed on the right side of the screen.
Consider the case of monitoring complex systems such
as Shuttle propulsion systems. Human op erators are
charged with reviewing data that is typically accessed
plates were created for each subsystem, spanning a
through a battery of sensors that innervate a mon-
range of completeness from the most detailed to pro-
itored system. We will consider use of a display-
gressively less complete, more abstract presentations
management system to make decisions ab out the na-
of data. We also intro duced levels of detail in the dis-
ture and quantity of evidence E to b e displayed. How-
play of diagnostic information, by allowing the system
ever, we could apply a similar analysis for controlling
to display probabilities of anomalies at more abstract
the display of information ab out other distinctions rep-
levels of the subsystems, such as the probabilityofa
resented in or inferred from a decision mo del.
sensor failure versus a sp eci c sensor failing.
Assume that a monitoring system has access to a
In the main Vista display, templates for the di erent
set of sensed observations, E. The probabilities over
subsystems are con gured in an invariant pattern, in-
hyp otheses of interest H (e.g., failures in a moni-
tro ducing spatial stability in the lo cation of informa-
tored system), inferred with a gold-standard diagnos-
tion ab out di erent subsystems. At run time, the re-
tic mo del that takes into consideration all available
sults of inference are used to mo dify the amountofde-
data, p(H jE;), can b e used to compute the exp ected
tail displayed ab out each subsystem; the data template
G
utility of the gold-standard action, A ,
for a subsystem app ears to telescop e from a compact
X
summary into a larger, more complete presentation.
G
A = arg max u(A ;H )p(H jE;) (1)
i j j
The overall p ositioning of the data templates for di er-
A
j
ent subsystems remains the same during the resizing of
presentations on sp eci c subsystems, minimizing the
Let us now hide some evidence from the analysis and
e ort needed to lo cate information. Preferred levels of
consider, with the same decision mo del, the value
detail for each subsystem were prede ned for di erent
of revealing or displaying a subset of observations,
contexts (e.g., critical OMS burn, orbital coast, etc.).
E E. We compute a p otentially revised optimal
D
Beyond automated control, we designed the interface
action, A , based on the revised probabilitydistri-
to allow users easy manual access to any information
bution, p(H jE; ). We compute the b est action by
available to the Vista system.
substituting the revised probability distribution into
Equation 1,
The combination of decision-theoretic inference with
X
exible access to a range of detail on subsystems has
D
A (E ) = arg max u(A ;H )p(H jE; ) (2)
i j j
worked well in Vista. Nevertheless, wehave continued
A
j
to pursue principles for controlling displays. We will
D
now fo cus on newer metho ds, several of whicharebe-
Wemust evaluate the exp ected utilityof A with the
ing validated for the forthcoming Vista-I I I system for
gold-standard probability distribution, considering al l
the Mission Control Center.
of the available evidence E,
X
D D
eu [A (E )] = u[A (E );H ]p(H jE;) (3)
j j
5.1 EXPECTED VALUE OF REVEALED
j
INFORMATION
We can now de ne the exp ected value of revealed in- The goal of display management in time-critical sit-
formation. The EVRI(e; E ; E) is the exp ected value of uations is to maximize the exp ected utilityofanop- Operator Experience
Displayed Operator Information Decision User model Gold-standard model
Operator
Delay Action,t Duration of Process
Figure 8: Weemploy a user and a gold-standard de-
cision mo del to determine the value of displaying ad- ditional information. The user mo del can b e a gold-
Utility tiations or
System standard mo del acting on a subset of instan
ting a user's causal knowledge and
State a mo del represen preferences.
E E2 E3
1 En
Let us consider the situation where a subset of all in-
formation (e.g., a subset of relevant telemetry from
Figure 7: An in uence diagram representing the prob-
the Shuttle) is revealed by an automated display man-
lem of controlling the display of information in time-
ager to a decision maker charged with resp onsibilityfor
critical situations. We represent user decisions as
making a decision. For now, we assume that the deci-
chance variables.
sion maker is an exp ert who acts in accordance with a
gold-standard diagnostic mo del but requires increasing
amounts of time to review larger quantities of informa-
revealing a set of additional information e in a context
tion. We can use NEVRI to consider the costs versus
de ned by the set of previously revealed information
b ene ts of displaying alternate subsets of available in-
E and the set of all available evidence E. Note that
formation. We can search through all con gurations
the EVRI is zero if the action do es not change with
of evidence to nd a subset of information, e ,that
the revealed information.
maximizes the exp ected utility,
D D
EVRI(e; E ; E)=eu[A (E + e; E)] eu [A (E; E)]
e = arg max NEVRI(e; E ; E) (8)
(4)
e
EVRI do es not takeinto account the costs p otentially
For the general case, nding the b est subset of moni-
asso ciated with the review of increasing quantities of
tored information to display requires a searchover all
information. Action maybedelayed if a decision-
combinations of data. We will discuss practical strate-
making agentmust pro cess additional information.
gies that coincide with extensions to current Vista dis-
Such time delays maychange the b est action or in-
play p olicies in Section 7. First, we will generalize
cur signi cant losses in the maximum exp ected utility
EVRI to the exp ected value of displayed information
in time-critical settings. The net exp ected value of re-
(EVDI).
vealing information (NEVRI) includes the costs and
b ene ts of reviewing the additional information. Let
us assume that costs are based solely in deterministic
5.2 GENERALIZATION TO VALUE OF
delays t(e) required to review information e. The b est
DISPLAYED INFORMATION
decision given consideration of only evidence E is,
EVRI considers the costs and b ene ts of revealing sub- X
D
A (E ) = arg max u[A ;H ;t(E )]p(H jE; )(5)
sets of all available observations in the context of a i j j
A
j
gold-standard mo del. In the general case, we cannot
assume that a user will act in accordance with a gold-
The exp ected value of this decision is,
standard diagnostic or decision mo del. A novice deci-
X
sion maker may make sub optimal decisions relativeto
D D
eu[A (E )] = u[A (E );H ;t(E )]p(H jE;)(6)
j j
a gold-standard decision-theoretic mo del yet still b e re-
j
lied up on for action given traditional desires for having
ahuman in the lo op. Alternately,wemay wish to use
conditioning the probability of states of the system on
automated display management to train a user ab out
the complete set of available evidence. The NEVRI
D
the most imp ortant information to consider. Wenow
can b e computed by considering the b est actions A
generalize the EVRI to the exp ected value of displayed
and exp ected utilities of these actions, given a consid-
information (EVDI) by considering an op erator's ac-
eration of t(E + e)versus t(E ).
tions in resp onse to varying quantities of displayed in-
D D
NEVRI(e; E ; E)= eu[A (E + e)] eu [A (E )] (7)
formation and the value of this information to the user
from the p ersp ective of the gold-standard mo del.
Note that we can easily generalize NEVRI to include
We wish to automate decisions ab out display to opti- information ab out the uncertainty asso ciated with the
mize the exp ected value of an op erator's actions. Al- time required to review information.
though we can consider several di erent forms of infor-
H1 H2 H1 H2
mation, including the output of automated inference,
we shall again cast the discussion in terms of decisions
ab out the display of subsets of all monitored observa-
E E.Tomake a decision ab out the nature tions, E
1 E2 E3 E2 E3
and quantity of evidence to reveal to the system user,
we consider the likeliho o d of alternative user actions
eliho o ds of delay as functions of displayed data.
and lik E4 E4
Within the context of the time-critical decision prob-
lems broadly captured by the in uence diagram in Fig-
Figure 9: Constructing mo dels of the op erator's view
ure 2, the problem of displaying information in time-
of a system. Exp ert trainers of propulsion-systems
critical settings is represented by the in uence diagram
op erators found it useful to initiate the task of de-
displayed in Figure 7. We transform the human op er-
veloping Bayesian mo dels of a trainee's causal knowl-
ator's decision and delaytochance variables that are
edge by pruning away subtle distinctions and dep en-
in uenced by the information displayed. We represent
dencies from the gold-standard Bayesian networks and
the user's exp ertise or background by conditioning the
reassessing probabilities.
action and delaynodesonavariable representing ex-
p ertise. If wehave certain knowledge ab out the user's
background, we condition the decision no de on this
function of displayed information. Assume that a gold-
information, represented by an information arc.
standard mo del indeed represents the preferences and
To simplify our equations, we will assume that the de-
probabilistic relationships of the b est exp ertise avail-
lay in the human op erator's action is a deterministic
able, but that the limited availability of exp erts and
function of the quantity of evidence displayed and is
p olicies of an institution lead to situations that require
indep endent of the ultimate action taken. We will keep
nonexp erts to make decisions. We wish to develop a
the op erator's exp ertise implicit. Given an initial dis-
display manager that continues to reason ab out how
play of system observations E , and a complete set of
alternativequantities of information will change the
evidence E known to a display manager, the net value
nature and timeliness of such decisions.
of displaying additional information (EVDI) e is,
6.1 BAYESIAN MODELS OF USER
BELIEFS
EVDI(e; E ; E)=
X X
To control or design a display based on EVDI, we need
p(A jE; e; ) u[A ;H ;t(E + e)]p(H jE;)
i i j j
to gain access to knowledge ab out p(A jE; )and t(E )
i
i j
(or, more generally, p(t jE ; A; )). For simpli cation,
k
X X
let us assume that wehave access to deterministic in-