## Introduction to Operations Research, Volume 1-- This classic, field-defining text is the market leader in Operations Research -- and it's now updated and expanded to keep professionals a step ahead -- Features 25 new detailed, hands-on case studies added to the end of problem sections -- plus an expanded look at project planning and control with PERT/CPM -- A new, software-packed CD-ROM contains Excel files for examples in related chapters, numerous Excel templates, plus LINDO and LINGO files, along with MPL/CPLEX Software and MPL/CPLEX files, each showing worked-out examples |

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Page 489

The

critical path if the duration of each activity equals its

critical path is START >A >B >C >E >F >.l >L >N >FlNISH, as highlighted in Fig.

10.7.

The

**mean**critical path is the path through the project network that would be thecritical path if the duration of each activity equals its

**mean**. Reliable's**mean**critical path is START >A >B >C >E >F >.l >L >N >FlNISH, as highlighted in Fig.

10.7.

Page 491

T = project duration (in weeks), which has (approximately) a nonnal distribution

with

Since the standard deviation of T is 0,, = 3, the number of standard deviations by

...

T = project duration (in weeks), which has (approximately) a nonnal distribution

with

**mean**up = 44 and variance tr; = 9, d = deadline for the project = 47 weeks.Since the standard deviation of T is 0,, = 3, the number of standard deviations by

...

Page 898

Airplanes arrive for takeoff at the runway of an airport according to a Poisson

process at a

off has an exponential distribution with a

must be ...

Airplanes arrive for takeoff at the runway of an airport according to a Poisson

process at a

**mean**rate of 20 per hour. The time required for an airplane to takeoff has an exponential distribution with a

**mean**of 2 minutes. and this processmust be ...

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### Common terms and phrases

activity additional algorithm amount analysis apply approach assignment assumed basic variable begin BF solution calculate called changes column complete Consider constraints Construct corresponding cost CPF solution customers decision demand described determine developed distribution entering equations estimated example expected feasible FIGURE ﬁrst flow formulation given gives hour identify illustrate increase indicates initial inventory involves iteration linear programming machine Maximize mean million Minimize month needed node objective function obtained operations optimal optimal solution original parameter path plant player possible presented Prob probability problem procedure proﬁt programming problem queueing respectively resulting shown shows side simplex method solution solve step strategy Table tableau tion transportation unit waiting weeks