發(fā)布時(shí)間：2018-05-14 02:09

  本文選題：聯(lián)合覆蓋 + 最低服務(wù)水平��； 參考：《運(yùn)籌與管理》2017年05期

【摘要】：傳統(tǒng)的覆蓋模型含有"全有全無(wú)"和"單一覆蓋"兩個(gè)假設(shè),即假設(shè)需求點(diǎn)在設(shè)施的服務(wù)半徑內(nèi)才被覆蓋,否則不被覆蓋;需求點(diǎn)只能被最近的設(shè)施覆蓋。這兩條假設(shè)在實(shí)際應(yīng)用中均存在不合理之處。松弛了這兩條假設(shè),研究逐漸覆蓋和聯(lián)合覆蓋。在保證每個(gè)需求點(diǎn)都享受到最低服務(wù)水平的情況下,提出了選址效益最大化的聯(lián)合覆蓋模型。由于目標(biāo)函數(shù)中含有分式,通過(guò)引入輔助變量的方法,將含有分式目標(biāo)函數(shù)的非線性規(guī)劃轉(zhuǎn)化成等價(jià)的線性規(guī)劃。最后,通過(guò)數(shù)值算例分析了最低服務(wù)水平限制對(duì)最佳選址方案的影響,并得到選址成本、總服務(wù)水平和單位成本服務(wù)水平隨最低服務(wù)水平限制的變化,同時(shí)對(duì)影響模型的重要參數(shù)做了敏感性分析。
[Abstract]:The traditional coverage model contains two hypotheses: "all have none" and "single coverage". It is assumed that the requirement point is covered only within the service radius of the facility, otherwise it will not be overwritten, and the requirement point can only be covered by the nearest facility. These two hypotheses are unreasonable in practical application. These two hypotheses are relaxed, and the gradual and joint covering are studied. A joint coverage model is proposed to maximize the benefit of site selection under the condition that every demand point enjoys the lowest service level. Because objective function contains fraction, by introducing auxiliary variable, the nonlinear programming with fractional objective function is transformed into equivalent linear programming. Finally, a numerical example is given to analyze the influence of the minimum service level restriction on the best location scheme, and the changes of location cost, total service level and unit cost service level with the minimum service level limit are obtained. At the same time, sensitivity analysis of important parameters affecting the model is made.
【作者單位】： 湖北經(jīng)濟(jì)學(xué)院湖北物流發(fā)展研究中心;華中科技大學(xué)管理學(xué)院;武漢工程大學(xué)管理學(xué)院;
【基金】：教育部人文社會(huì)科學(xué)研究青年基金項(xiàng)目(15YJC630074) 湖北物流發(fā)展研究中心研究課題(2015A01)
【分類號(hào)】：O221
，

本文編號(hào)：1885841