Scientific paper ID 1306 : 2016/3

Petya Stoyanova, Kiril Karagyozov

The paper focuses on the determination of the number of centres for outpatient emergency care and their coverage with respect to area and population within the specified by standards time framework. The study objective is to work out the minimum number and specific location of emergency medical aid centres securing maximum service (coverage) of the population as well as of the city territory, at set maximum time and / or distance. To determine the coverage by areas in the city of Sofia, it is necessary to apply certain mathematical models of centre location choice, the current report implementing the task of coverage (set covering problem), a task of mixed integer and linear programming. The target function and constraints and binary variables are defined in the Solver Add-in.

Sofia area is served by means of considering the Euclidean metric of distances between two points, corrected by a factor taking into account the road network, whereas the travel time needed is obtained by assuming an average city movement speed of ambulances.

Problem solution with а varying number of centres (2, 3, 4, 5) gives their location and coverage extent (population served) at pre-set time standards for medical triage (Code Red - 8 minutes, code orange - 20 min and code green – up to 120 min.).

задача на покритието; местоположение на център; спешна медицинска помощset cover; location of the center; emergency medical aidPetya Stoyanova Kiril Karagyozov


[1] Ministerstvo na Zdraveopazvaneto Naredba № 12 ot 30 dekemvri 2015 g. za utvarzhdavane na meditsinski standart „Speshna meditsina“.
( [1] Mинистерство на Здравеопазването Наредба № 12 от 30 декември 2015 г. за утвърждаване на медицински стандарт „Спешна медицина“. )

[2] Naredba № i-141 ot 18 septemvri 2002 g. za usloviyata i reda, pri koito se polzva spetsialen rezhim na dvizhenie ot motornite prevozni sredstva, Izdadena ot Ministerstvoto na vatreshnite raboti, Obn. DV. br.94 ot 4 Oktomvri 2002g., izm. DV. br.77 ot 6 Oktomvri 2015g.
( [2] Наредба № i-141 от 18 септември 2002 г. за условията и реда, при които се ползва специален режим на движение от моторните превозни средства, Издадена от Министерството на вътрешните работи, Обн. ДВ. бр.94 от 4 Октомври 2002г., изм. ДВ. бр.77 от 6 Октомври 2015г. )

[3] V. Marianov, C. Re Velle , The queueing maximal availability location problem: A model for the siting of emergency vehicles,/ European Journal of Operational Research 93 (1996) 110-120.

[4] White J. and Case K. (1974), ”On covering problems and the central facility location problem”, Geographical Analysis 6, 281.

[5] Kanchala Sudtachat (2014), ”Strategies to improve the efficiency of emergency medical service (EMS) systems under more realistic conditions” All Dissertations. Paper1359.

[6] Raida Abuizam, „The Potential Deployment Of Set Covering And Location-Assignment Model: The Case Of Locating Trauma Centers At The Midwest Region“, Journal of Business Case Studies – Fourth Quarter 2014 Volume 10, Number 4.




This site uses cookies as they are important to its work.

Accept all cookies
Cookies Policy