Two-Dimensions Alphabetical-Alphabetical Matrix (2DAAM) Numbering

Two-Dimensions Alphabetical-Alphabetical Matrix (2DAAM) Numbering Free Online Research Papers Two-Dimensions Alphabetical-Alphabetical Matrix (2DAAM) Numbering for Telephone Numbering Plan Systems More Addresses, Less Number of Digits! Decimal National Numbering Plan†¦ Goodbye! Mag. Hasan Meslmani Unique In this paper, another instrument for Numbering Plan arrangement of Geographical and Non-topographical for both Public Switched Telephone Network (PSTN) and Public Land Mobile Network (PLMN) is proposed utilizing Two-Dimensions Alphabetical-Alphabetical Numbering (2DAAN), considering the expanding requests for numbering limit with respect to the two endorsers and the administrations so as to meet development of supporters numbers and telephone utilities, for example, Free Services or Value-Added Services. This examination proposes another component for numbering which is not quite the same as the regular techniques for numbering plans as per proposals of International Telecommunication Union (ITU) utilizing Pre-Initial Access Isolation Principle (PIASP) and introducing the phone number as a location for utilizing the entire Possibilities scope of Generated Addresses (PGA) for the use components. Along these lines, this exploration intends to lessen the digits in phone number f or both fixed and cell phones, renumbering the national call code or Local Area Code (LAC) inside a specific nation, renumbering the Country Code (CC) for every nation as indicated by ISO 3166 Alpha-2 Code list, normalization the Length of National Number, and normalization the National Numbering Plan (NNP) in every nation. I. Presentation Two-Dimensions Alphabetical-Alphabetical Matrix (2DAAM) numbering This strategy expects to make a colossal scopes of addresses for numbering plan by methods for utilizing less number of digits considering assignment of adequate limit with respect to geographic zones and non geographic administrations to meet development of telephone utilities, assignment of numbering limit with respect to the future presentation of new administrations and assignment of extra limit as codes and number ranges that are not related with any known administrations and accordingly possibly appropriate for unexpected extension or the presentation of fresh out of the plastic new administrations. The new component relies upon two primary stages. The first accept growth the current numbering range by supplanting its decimal components with greater range comprises of the Latin characters components which it luckily effectively utilized in the current phone keypad to execute some auxiliary capacities. The subsequent stage expect utilizing extension standard ones more by dropping these components on arranges hub by making two measurements numerical model of Possibilities Theory to acquire on a major base which can produce colossal scope of addresses. It is the perfect opportunity to update another keypad which contains catches introducing the Latin Alphabetical characters as a first capacity to help this method, [1]. Yet, this requires lamentably somewhat or absolutely restriction a few suggestions of the ITU on the worldwide open media transmission numbering plan, for example, E.123, E.163, E.164 and E.212, [2]. II. Numerical MODEL Another numerical model supporting the new system of numbering plan for creating considerably more delivers adequate to recognize the immense quantities of endorsers has been created. The general prospects type of the Mathematical Model for the all out aggregates of Total Generated Addresses (TGA) for a specific range can be written in the accompanying articulation (1): [1] (1) By picking the Decimal Number range as a chose run, the past articulation can be re-composed as: (2) (2) By applying this model on Two Dimensions Matrix (2D Matrix), The general type of Mathematical Model for the chance of the delivered numbers or addresses coming about because of a specific range is appeared in articulation (3) (3) Presently, by applying this model on Two Dimensions Matrix (2D Matrix), the two lines and colons will be the 26th Latin letters in order characters coming about (26*26) Matrix and can be named 2D Alphabetical-Alphabetical Matrix. The segments of all components for the entire scope of framework is given in articulation (4) (4) Classes of Calls At the point when this investigation is applied for Calls Traffic as per Class of Calls for one month by arbitrary example strategy on a set comprising of (100) suscribers have a place with Sabil Exchange in Aleppo city, the accompanying outcomes have been obtaind and summerized in Table 1. Emergency Service International National Mobile Local Call Types 6 5 4 3 2 1 Levels %5 %5 %10 %15 %35 %40 Percentages Table 1: Calls classes As the consequence of that, six significant arrangement sorts of calling can be followed when two An and B parties are executing calling. These characterizations are: 1 Local Call 2 Mobile Call 3 National Call 4 International Call 5 Service Call 6 Emergency Call This order will help the development of another chain of importance call address from one side, controlling to explode the conventional plan of the current phone keypad lastly move the reasonable strides to overhaul the catch design in the new keypad to help this progression from opposite side, as it is represented in Fig. 1, [3,6]. Fig. 1: Classes of calls between the called parties (An) and (B) introduction and its rates esteem. Utilization of Mathematical Model The general equation of the Mathematical Model for the all out entireties of Total Generated Addresses (TGA) opportunities for 2D Alphabetical-Alphabetical Matrix range can be appeared in articulation (4), from that, the accompanying outcomes can be acquired A. For n= 1 : B. For n= 2 : C. For n= 3 : D. For n= 4 : E. For n= 5 : From the past (7), (10), (13), (16) and (19) conditions and lattices, the accompanying Table shows the Total Generated Addresses (TGA) as indicated by the quantity of digits for the 2D Alphabetical-Alphabetical Matrix (2DAAM) numbering [1]. 5digit 4digit 3digit 2digit 1digit n 141,167,095,653,376 208,827,064,576 308,915,776 456,976 676 TGA Table 2: Shows the Total Generated Addresses (TGA) as indicated by the quantity of digits in the proposed (2DAAM) numbering. While, the Total Generated Addresses (TGA) regarding the quantity of digits for the Decimal Numbering can be summerized in Table 3 [7], [8]. 7digit 6digit 5digit 4digit 3digit 2digit 1digit n 10,000,000 1,000,000 100,000 10,000 1,000 100 10 TGA Table 3: Shows the Total Generated Addresses (TGA) as indicated by the quantity of digits in the current decimal numbering. By applying this proposed model on various extents, we can acquire of the accompanying various bends which reflex the estimation of the chose run, as it appeared in Fig. 2. Which shows a chance of the Total created addresses delivered by the quantity of digits in the current numbering framework in examination with different frameworks, which they are orchestrated from option to left as follows: 1. Decimal numbering framework strategy 2. Mixed numbering framework strategy 3. IPv4 numbering framework strategy 4. 2D Alphabetical-Alphabetical numbering framework strategy Fig. 2: Possibilities of the Total Generated Addresses (TGA) created by the quantity of digits. It is be seen clearly, that the upper bend (2D Alphabetical), which communicates of potential outcomes of creating the Total Generated Addresses utilizing 2D Matrix segments P(x) and P(y) for the Latin Alphabets extend, will have the most elevated qualities in correlation with the other utilized extents (Mixed), (IPv4) and (decimal) bends, [9]. III. THE NEW SUGGESTED HIERARCHY LEVELS In [1] and [10], The Hierarchy Levels Suggestion can be isolated into two primary sets as follow: A. Call Type The First set can be partitioned into six subsets as follows: 1. Local Call 2. Mobile Call 3. National Call 4. International Call 5. Service Call 6. Emergency Call B. Subscriber Address The subsequent set can be partitioned into five subsets as follows: 1. State: can be spoken to by ISO 3166-1 Alpha-2 Codes 2. City: can be spoken to likewise by Alpha-2 Codes 3. Exchange: can be spoken to by Alpha-2 Codes 4. Zone/Cable: can be spoken to by Alpha-2 Codes 5. Subscriber: can be spoken to by Alpha-2 Codes Sorts of Two Dimensions Alphabetical-Alphabetical Matrix (2DAAM) calls In [1], Five sorts of calls utilizing the 2DAAM are characterized when the quantity of choice digits are equivalents to Subscriber Address referenced previously? (n=5): 1. Crisis Service Calls This class of calls incorporates a wide range of free administrations Crisis Service ? Numbers are distinguished by a ‘address’ reflex the two beginning characters of the administrations name following the sort of call Emergency sign or the administration identifier ‘1’. This number or address is one digit long. Model: 1 {services name} Example1 (fire): 1 FI Example2 (police): 1 PO The size of the numbers square distributed will create (676) addresses for administrations. The administration identifier ‘1’ joined with the short rest of the number is expected to give numbers that are effortlessly recollected. 2. Local Calls This classification of calls incorporates all calls between two supporters have a place with a similar trade. Exceptionally Local Calls? Numbers are recognized by a ‘address’ reflex the two beginning characters of the zones name and endorsers name, individually following the kind of extremely neighborhood call sign or the administration identifier ‘2’. This number or address is two digits long. Model: 2 {zones name} {subscribers name} Model: 2 ZH OM The square numbers assigned size will create (456,976) addresses for each trade. 3. Neighborhood Calls This classification of calls incorporates all calls between two endorsers have a place with an alternate trades in a similar city or district has a similar Local Area Code (LAC). Nearby Calls? Numbers are recognized by a ‘address’ reflex the two beginning characters of the trades name, zones name and