Читать книгу Multi-parametric Optimization and Control - Efstratios N. Pistikopoulos - Страница 72

In order to illustrate the concepts developed in this chapter, a classical shipping problem is considered (adapted from [13] and modified for illustrative purposes):

Given a set of plants and a set of markets with corresponding supply and demand, and the distances between and , minimize the total transportation cost.

In particular, the transport to Chicago and Topeka is considered, and the problem‐specific data is given in Tables 2.1 and 2.2. Note that the freight cost is $90 per 1000 miles and case and the freight loading cost is $25 per case.

Table 2.1 The supply and demand of each plant and market in cases.

Supply		Demand
Seattle	350	Chicago	300
San Diego	600	Topeka	275

Table 2.2 The distances between each plant and market in thousands of miles.

‐	Chicago	Topeka
Seattle	1.7	1.8
San Diego	1.8	1.4