TAILIEUCHUNG - Ebook Operations research an introduction (10/E): Part 2

Part 2 book “Operations research an introduction” has contents: Traveling salesperson problem, deterministic dynamic programming, inventory modeling (with introduction to supply chains), decision analysis and games, probabilistic inventory models, Markov chains, queuing systems, and other contents. | Chapter 11 traveling Salesperson problem (tSp) Real-Life Application The Australian Defence Sciences and Technology Organisation employs synthetic aperture radar mounted on an aircraft to obtain high-resolution images of up to 20 rectangular swaths of land. Originally, flight path covering a sequence of swaths was done visually using time-consuming and usually suboptimal mapping software. Subsequently, a TSP-based software was developed to plan missions with up to 20 swaths. The new software can plan a mission in less than 20 seconds, compared with 1 hr using the visual process. Additionally, the average mission length is 15% less than the one obtained Scope of the tSp Classically, the TSP problem deals with finding the shortest (closed) tour in an n-city situation, where each city is visited exactly once before returning back to the starting point. The associated TSP model is defined by two pieces of data: 1. The number of cities, n. 2. The distances dij between cities i and j (dij = ∞ if cities i and j are not linked). The maximum number of tours in an n-city situation is (n - 1)! if the network is directed ., dij ≠ dji 2 and half that much if it is not. In reality, TSP applications extend well beyond the classical definition of visiting cities. The real-life application given at the start of this chapter describes mission 1 Details of the study can be found in D. Panton and A. Elbers, “Mission Planning for Synthetic Aperture Radar Surveillance,” Interfaces, Vol. 29, No. 2, pp. 73–88, 1999. 435 436 Chapter 11 Traveling Salesperson Problem (TSP) planning for synthetic aperture radar surveillance. The Aha! Moment below describes a noted TSP application in the late nineteenth century that ushered the first known use of mathematical modeling in archaeology (a field mainly dominated by art historians and linguists). A brief list of other TSP applications is given in Problem 11-1. .

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• Deterministic dynamic programming
• Inventory modeling probabilistic inventory models
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• Key issues on partial least squares (PLS) in operations management research
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