2) and the schedule needs to be decided. Let t1 be the time required to perform show 1 and let t2 be the time required to perform show 2. These times include not only performing the show, but getting the theatre clean for any showing being performed afterwards. Let us define decision variable s; as the start time for show i, i = 1, 2. All the times are given in hours, which means that 0 < $1, 82, t1, t2 < 24. Two different shows must be performed at the same theatre on the same night We can write s1 + t1 < 82 if show 1 is to be scheduled before show 2. Or we can write 82 + t2 < 81 if we wish to impose that show 2 is performed before show 1. However, as we do not have any preference, you must model the following requirement without using nonlinear expressions: "Either show 1 is performed before show 2, or show 2 is performed before show 1." You are not asked to write a full integer programming formulation, just the constraints that are required to model the previous condition.
2) and the schedule needs to be decided. Let t1 be the time required to perform show 1 and let t2 be the time required to perform show 2. These times include not only performing the show, but getting the theatre clean for any showing being performed afterwards. Let us define decision variable s; as the start time for show i, i = 1, 2. All the times are given in hours, which means that 0 < $1, 82, t1, t2 < 24. Two different shows must be performed at the same theatre on the same night We can write s1 + t1 < 82 if show 1 is to be scheduled before show 2. Or we can write 82 + t2 < 81 if we wish to impose that show 2 is performed before show 1. However, as we do not have any preference, you must model the following requirement without using nonlinear expressions: "Either show 1 is performed before show 2, or show 2 is performed before show 1." You are not asked to write a full integer programming formulation, just the constraints that are required to model the previous condition.
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter4: Making Decisions
Section: Chapter Questions
Problem 15RQ
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