LOCATION TAXI RANKS IN THE URBAN AGGLOMERATION

Transcription

1 LOCATION TAXI RANKS IN THE URBAN AGGLOMERATION ABSTRACT Lokace stanovšť taxslužby v městské aglomerac Ing. Mchal Turek, Ph.D. College of Logstcs, Department of Logstcs and Techncal Dscplnes e-mal: mchal.turek@vslg.cz The paper proposed deployment tax ranks and assgnment of customer servce n the boardng place. At the start of the problem s defned and a theoretcal analyss of the role of locaton. Then, through a mathematcal model of the proposed locaton of tax ranks n the town of. Fnally there s an evaluaton. ABSTRAKT V příspěvku je navrhováno rozmístění stanovšť taxslužby a přřazení obsluhy zákazníků v nástupních místech. Na začátku je defnován problém a uveden teoretcký rozbor lokační úlohy. Poté je prostřednctvím matematckého modelu navržena lokace stanovšť taxslužby na území města Přerova. Na závěr je provedeno vyhodnocení. Key words Locaton, Mathematcal Model, Departng Pont, Tax Ranks Klíčová slova Lokace, matematcký model, nástupní místo, stanovště taxslužby 1. INTRODUCTION On the urban agglomeratons are provded for the ctzens of publc transport modes usually by publc transport or by tax. In the case of publc transport passengers can be transported only at selected tmes and on specfed routes and n the event that you need to carry wth regard to ndvdual requrements, access tme due to unsatsfactory depart, hgher transport tme and the unavalablty of the ste by publc transport to use taxs, whch allows for a hgher prce takng nto account the ndvdual requrements of passenger. Prce for tax use, however, s usually several tmes hgher than the prce for the use of publc transport. It s therefore approprate to consder the possblty of reduced prces for use taxs from the perspectve of a passenger. One of the ways through whch we can reduce the cost of usng taxs, respectvely costs for the operator s approprately dstrbute the tax so that the range to the customers as quckly as possble whle coastng tme n boardng areas wll be as low as. 2. THE DEPLOYMENT TAXI RANKS The deployment tax ranks are among the locatonal problems, because decsons about placement or habtat Regstered taxs to the stes for the locaton of tax ranks and then assgned or unassgned customer habtats taxs. To solve the problem locatonal selected from a varety of methods use a mathematcal model of locaton task, whch s characterzed both clarty and ease of applcaton n optmzaton software. The mathematcal model locatonal job conssts of the objectve functon, through whch we seek optmal solutons servng customers n taxs, and the system of restrctve condtons, whch defnes the permssble solutons servng customers n taxs. The optmzaton we need to know the cost of the tax operaton n the area and the cost of assgnng each customer habtats taxs to obtan the total cost of whch wll form the optmzaton crteron and by the objectve functon s mnmzed we. For real terms by restrctve condtons must take nto account that customers wll be

2 served only from stes whch were located n the tax and ndvdual customers wll be served by only one of the tax. In the followng part of the paper wll be descrbed n more detal mathematcal model of locaton tasks of the ssue n specfc terms (Daněk - Techmann, 2005). 3. MODELING DEPLOYMENT TAXI RANKS Layout of tax ranks wll be modeled n terms that serve the purpose of effectve busness decsons about the locaton of ther vehcles n the cty Přerov. For the locaton of vehcles to the tax company has desgned the ste to whch t s possble to place planned the tax on the bass of nternal data about customers' requrements has nformaton about boardng places wth the most common frequences customer servce, whch wll take nto account when deployng habtats (Skácel, 201). 3.1 Input data Before startng the mathematcal modelng wll frst be defned stes for tax ranks n the cty Přerov ncludng the operatng costs of the locaton of these stes n varous locatons (Tab. n. 1). Subsequently, the defned startng place wth the most common operatng frequences and the cost of assgnng the startng pont of each ste, whch can be placed n the tax (Tab. n. 2). Locatons for the locaton of tax ranks n the cty Přerov: - Bratrská 5, - Husova 1, - Kojetínská 10, - Tovární 328. Tab. n. 1: Operatng costs on the locaton of the tax Stes for the tax Markng the ste for the Daly rental stes for the purpose of modelng tax [Kč] Bratrská Husova Kojetínská Tovární Startng the place wth the most common operatng frequences: - Brabansko 2, - Čechova 12, - Čechova 26, - Dvořákova 75, - Hrancká 12, - Husova 1, - Kojetínská 10, - Komenského 35, - Lpncká, - náměstí T. G. Masaryka, - Tovární 328, - Žerotínovo náměstí

3 Brabansko 2 Čechova 12 Čechova 26 Dvořákova 75 Hrancká 12 Husova 1 Kojetínská 10 Komenského 35 Lpncká náměstí T. G. Masaryka Tovární 328 Žerotínovo náměstí Tab. n. 2: The cost of assgnng the startng pont of habtats taxs Markng the startng pont for modelng needs The cost of assgnng the startng pont of habtats taxs [Kč] Bratrská 5 6,2 9, ,3 6,2 18 2, Husova , ,9 5, ,2 19 Kojetínská , , Tovární , ,2 3,6 6, Mathematcal model At the begnnng of the modelng wll frst be defned nput quanttes and wll subsequently created a mathematcal model of locaton tasks for deployment tax ranks at the Přerov. Input varables: f costs of operatng the -th the tax, c y x the cost of assgnng j-th place of embarkaton -th staton taxs, varable modelng the decson on the placement or regstered -th the tax, varable modelng the decson to assgn or unassgned j-th place of embarkaton -th staton taxs. The mathematcal model specfc tasks to shape: x, y f y mn f c x 1) condtons j1 12 x 1 for j = 1,...,12 (2) Condton (2) ensures that every startng pont wll be assgned to only one tax ranks. x y for = 1,..., a j = 1,...,12 (3) Condton (3) ensures that every startng pont wll be assgned only tax ranks, whch was placed n the ste. x 0,1 for = 1,..., a j = 1,...,12 () y 0,1 for = 1,..., (5) Condtons () and (5) are oblgate condtons. 3.3 Development of mathematcal model To obtan the results of the mathematcal model for the role of locatonal deployment tax ranks at the Přerov transformed nto a programmng language wth whch t operates

4 Xpress optmzaton software, whch was processng the mathematcal model used. Development of a mathematcal model n software Xpress shown n Fg. n. 1 (Far Isaac Corporaton, 2008), (Far Isaac Corporaton, 2009). Fg. n. 1: Development of a mathematcal model of locatng jobs for deployment tax ranks at the Přerov. EVALUATION After processng, the mathematcal model of locatng jobs for deployment tax ranks at the Přerov was runnng the optmzaton calculaton, based on the results whch were obtaned. The results of the optmzaton calculaton shows that the mnmum cost of a tax when servng customers n boardng areas wth the most common operatng frequency wll be 115,0 Kč per day, tax wll be placed n locatons Bratrská 5, Kojetínská 10 and Tovární 328 and assgnment of these habtats tax boardng places wll be followng: - from the tax staton located n Bratrská 5 customers wll be served n startng ponts Brabansko 2, Čechova 26, Dvořákova 75, Hrancká 12, Lpncká, náměstí T. G. Masaryka a Žerotínovo náměstí, - from the tax staton located n Kojetínská 10 customers wll be served n startng ponts Kojetínská 10 a Komenského 35, - from the tax staton located n Tovární 328 customers wll be served n startng ponts Čechova 12, Husova 1 a Tovární CONCLUSION The paper deals wth optmzaton of cost tax servce to our customers at the startng pont of the Přerov. Cost mnmzaton was solved by locatng jobs wthn that mnmze

5 operatng costs on the locaton of the tax wth regard to fees for the ste to whch t s possble to place the tax and the cost of assgnng the startng pont of habtats taxs wth regard to the dstance traveled between tax ranks and the startng pont. Based on the optmzaton of costs for customer servce set up three tax stop at four stes that have been assgned twelve startng ponts, whle the tax placed n Bratrská 5 wll operate seven startng ponts, tax placed n Kojetínská 10 wll operate two startng ponts and the tax located n Tovární 328 wll operate three boardng pont. In addton to mnmzng the cost of servcng customers that were subject to optmzaton, results for the customer from optmal solutons also mnmze nbound tme, whch s related to the mnmum dstance traveled. Locaton tax ranks thus allows you to get a comprehensve soluton that wll lower the costs for companes operatng tax servces and ncrease customer satsfacton wth regard operated at a lower prce, the range tme on a traffc pont. LITERATURE DANĚK, J. - TEICHMANN, D.: Optmalzace dopravních procesů. - VŠB-Techncká unverzta Ostrava, 2005 SKÁCEL, J.: Alokace služeb tax v městské aglomerac. - Vysoká škola logstky o.p.s., 201 (Dplomová práce) Far Isaac Corporaton: Gettng Started wth Xpress Far Isaac Corporaton: Mosel: An Overvew Revewers: Doc. RNDr. Vladmír Homola, CSc., HGF VŠB-TU Ostrava Prof. Ing. Vladmír Strakoš, DrSc., VŠLG Přerov